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Study of the interaction between deaf and hearing learners with mathematics classroom data ; ESTUDIO SOBRE LA INTERACCIÓN ENTRE ESTUDIANTES SORDOS Y OYENTES CON DATOS DE CLASES DE MATEMÁTICAS
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In: https://hal.archives-ouvertes.fr/hal-01964555 ; [reportType_4] 5, GIPEAM Research Group Documents. 2018 (2018)
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Mathematics learners' behaviour in CLIL bilingual lessons within L2 external setting
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In: Proceedings of the IV ERME Topic Conference on Classroom-based research on mathematics and language (pp. 117-123) ; https://hal.archives-ouvertes.fr/hal-01856535 ; Proceedings of the IV ERME Topic Conference on Classroom-based research on mathematics and language (pp. 117-123), Mar 2018, Dresde, Germany ; http://www.mathematik.uni-dortmund.de/~prediger/ERME/18-ETC4_Proceedings-Complete.pdf (2018)
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Controversy spaces. The dialectical nature of change in the sciences and philosophy ; Los espacios controversiales. La naturaleza dialéctica del cambio en las ciencias y la filosofía
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In: ISSN: 2386-3994 ; Analysis ; https://hal.archives-ouvertes.fr/hal-01853304 ; Analysis, 2018, 21 (1), pp.1-23. ⟨10.5281/zenodo.1326882⟩ (2018)
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Filming cinephilia in the sessions organized by the OROLEIS in Toulouse (1960-1990) ; Filmer la cinéphilie dans les stages organisés par l'OROLEIS de Toulouse (1960-1990)
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In: ISSN: 0992-1893 ; EISSN: 1765-3118 ; Cycnos ; https://hal.univ-reims.fr/hal-02108608 ; Cycnos, Lirces - université Côte d'Azur, 2018, Les représentations de la cinéphilie, 34 (1), pp.145-163 ; https://www.editions-harmattan.fr/ (2018)
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Working on proof as contribution to conceptualisation – The case of R-completness
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In: Advances in Mathematics Education Reserach on Proof and Proving. An international perspective ; https://hal.archives-ouvertes.fr/hal-02070069 ; Stylianides, Andreas J.,; Harel, Guershon. Advances in Mathematics Education Reserach on Proof and Proving. An international perspective, Springer International Publishing, pp.19-34, 2018, ICME-13 Monographs, 978-3-319-70995-6 (2018)
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Abstract:
International audience ; In this chapter, we propose a mathematical and epistemological study about two classical constructions of the real number system, by Dedekind (cuts) and Cantor (Cauchy sequences), and the associated proofs of its completeness. In addition, we present two contrasting constructions leaning on decimal expansions. Our analysis points out that Dedekind’s construction fosters a conceptualization of the real numbers leaning strongly on the total ordering of Q and R, while putting aside the metrical aspects. By contrast, the more intricate construction through Cauchy sequences calls on complex objects, but yields to a better understanding of the topological relationship between rational and real numbers. We argue that suitable considerations of decimal expansions and of approximation issues enable to connect and complement those two approaches. These analyses highlight the dialectical interplay between syntax and semantics, and the crucial role of the definitions of objects at play in proof and proving. The general didactical issue pertains to the potential contribution of analyzing proofs as a means for deepening the understanding of the related objects and of their ensuing conceptualization. We hypothesize that doing so with Dedekind’s cuts, Cauchy sequences and decimal expansions open paths towards improving the conceptualization of the real numbers, by taking into account the triad discreteness/density/ continuity.
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Keyword:
[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]; [MATH]Mathematics [math]; [SHS]Humanities and Social Sciences; cauchy sequences; completeness; continuity; cuts; density; Mathematics Education; proof and conceptualization; real numbers; syntax and semantics
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URL: https://hal.archives-ouvertes.fr/hal-02070069
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The World Bank and the Educational Policies for Colombia and Brazil ; El Banco Mundial y la política educativa para Colombia y Brasil
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In: ISSN: 0185-1284 ; Revista Latinoamericana de Estudios Educativos ; https://hal.archives-ouvertes.fr/hal-02193295 ; Revista Latinoamericana de Estudios Educativos, Centro de Estudios Educativos, A.C. México, 2018, XLVIII (1), pp.53-72 (2018)
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Central dialectics for mathematical modelling in the experience of a study and research path at university level
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In: INDRUM 2018 ; https://hal.archives-ouvertes.fr/hal-01849928 ; INDRUM 2018, INDRUM Network, University of Agder, Apr 2018, Kristiansand, Norway (2018)
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Instrumented activity and theory of instrument of Pierre Rabardel ; L'activité instrumentée et la théorie instrumentale de Pierre Rabardel
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In: Philosophy of technology for technology education to Sense/Brill ; https://hal-amu.archives-ouvertes.fr/hal-01903109 ; Philosophy of technology for technology education to Sense/Brill, In press (2018)
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The complexity of knowledge construction in a classroom setting
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In: INDRUM 2018 ; https://hal.archives-ouvertes.fr/hal-01849971 ; INDRUM 2018, INDRUM Network, University of Agder, Apr 2018, Kristiansand, Norway (2018)
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How teachers' attitudes on GMO relate to their environmental values
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In: ISSN: 0272-4944 ; EISSN: 1522-9610 ; Journal of Environmental Psychology ; https://hal.archives-ouvertes.fr/hal-01941787 ; Journal of Environmental Psychology, Elsevier, 2018, 57, pp.1-9. ⟨10.1016/j.jenvp.2018.04.002⟩ (2018)
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Baby Doll Preferences: Mothers and Daughters
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In: 8th International Toy Research Association World Conference ; https://hal-univ-paris13.archives-ouvertes.fr/hal-02083767 ; 8th International Toy Research Association World Conference, International Toy Research Association (ITRA), Jul 2018, Paris, France (2018)
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Documentational approach to didactics
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In: Encyclopedia of Mathematics Education ; https://hal.archives-ouvertes.fr/hal-01851785 ; Stephen Lerman. Encyclopedia of Mathematics Education, Springer, 2018, ⟨10.1007/978-3-319-77487-9_100011-1⟩ ; https://www.springer.com/fr/book/9789400749771 (2018)
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What characterizes quality of mathematics classroom interaction for supporting language learners? Disentangling a complex phenomenon
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In: Proceedings of the IV ERME Topic Conferece 'Classroom based-research on mathematics and language' (pp. 49-56) ; https://hal.archives-ouvertes.fr/hal-01856476 ; Proceedings of the IV ERME Topic Conferece 'Classroom based-research on mathematics and language' (pp. 49-56), Mar 2018, Dresde, Germany ; http://www.mathematik.uni-dortmund.de/~prediger/ERME/18-ETC4_Proceedings-Complete.pdf (2018)
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Opportunities and challenges of classroom- based research on mathematics and language
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In: Proceedings of the IV ERME Topic Conferece 'Classroom-based research on mathematics and language' (pp. 17-25) ; https://hal.archives-ouvertes.fr/hal-01856472 ; Proceedings of the IV ERME Topic Conferece 'Classroom-based research on mathematics and language' (pp. 17-25), Mar 2018, Dresde, Germany ; http://www.mathematik.uni-dortmund.de/~prediger/ERME/18-ETC4_Proceedings-Complete.pdf (2018)
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Urban teachers' understandings and uses of student funds of knowledge in the development of global competence
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Leveraging metalinguistic awareness and L1 prosody in the learning of L2 prosody: the case of Mandarin speakers learning English sentence stress
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Developing collaborative partnerships with culturally and linguistically diverse families during the IEP process
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It’s Kind of a Curious Incident in the Bell Jar: Using Literature and Discussion to Advocate for Mental Health Education in the High School English Classroom
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In: Honors Program Theses and Projects (2018)
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Structured and Critical Intercultural Programming: Faculty and Staff Collaborate to Put Research into Action
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In: Special Education Faculty Publications (2018)
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